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Finding the Fourth Proportional to 952.80, 1,428.84 and 432.96

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Solution

The fourth proportional to 952.80, 1,428.84 and 432.96 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.80 : 1,428.84 = 432.96 : x
  2. Step 2: Convert to fraction form
    952.80/1,428.84 = 432.96/x
  3. Step 3: Cross multiply
    952.80x = 1,428.84 × 432.96
  4. Step 4: Simplify right side
    952.80x = 618,630.57
  5. Step 5: Solve for x
    x = 618,630.57/952.80
  6. Step 6: Final answer
    x = 649.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.